2y-7(3y-x)=6x+2

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Solution for 2y-7(3y-x)=6x+2 equation:


Simplifying
2y + -7(3y + -1x) = 6x + 2

Reorder the terms:
2y + -7(-1x + 3y) = 6x + 2
2y + (-1x * -7 + 3y * -7) = 6x + 2
2y + (7x + -21y) = 6x + 2

Reorder the terms:
7x + 2y + -21y = 6x + 2

Combine like terms: 2y + -21y = -19y
7x + -19y = 6x + 2

Reorder the terms:
7x + -19y = 2 + 6x

Solving
7x + -19y = 2 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
7x + -6x + -19y = 2 + 6x + -6x

Combine like terms: 7x + -6x = 1x
1x + -19y = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
1x + -19y = 2 + 0
1x + -19y = 2

Add '19y' to each side of the equation.
1x + -19y + 19y = 2 + 19y

Combine like terms: -19y + 19y = 0
1x + 0 = 2 + 19y
1x = 2 + 19y

Divide each side by '1'.
x = 2 + 19y

Simplifying
x = 2 + 19y

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